501041 divided by 14 
We want to divide 501041 by 14.

Going ahead to step 1:
14 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 14

On to step 2:
If we divide 50 by 14, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 42 from 50 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 14

Advancing to step 3:
14 goes into 81 5 times with a remainder of 11.
The next digit of our result is 5. 
Result so far: 35.0
Subtracting 70 from 81 leaves us with 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 14

Moving on to step 4:
When dividing 110 by 14, we get 7 with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 357.0
If we subtract 98 from 110, we get 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 14

Going ahead to step 5:
14 can be fit into 124 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 3578.0
If we take 112 away from 124, we end up with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 14

Step 6:
When dividing 121 by 14, we get 8 with a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 35788.0
Deduct 112 from 121 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 14 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 35788.6
Subtract 84 from 90 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
14 goes into 60 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 35788.64
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 35788.642
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 35788.6428
Subtracting 112 from 120 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
80 divided by 14 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 35788.64285
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 35788.642857
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
14 goes into 20 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 35788.6428571
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
When dividing 60 by 14, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 35788.64285714
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 35788.64285714 and a remainder of 4e-09.